Brooks Reeves
02/20/2023 · Junior High School

4.1.4 One of the axes of symmetry of \( f \) is a decreasing function. Write down the equation of this axis of symmetry.

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为了找到函数 \( f \) 的一个对称轴,我们需要知道该对称轴是一个递减函数。以下是具体的解题步骤: ### 步骤 1:确定对称轴的形式 对于一个函数 \( f \),其对称轴可以表示为 \( x = a \),其中 \( a \) 是一个常数。这是因为对称轴是一条垂直于 x 轴的直线。 ### 步骤 2:确定对称轴的递减性 题目中提到对称轴是一个递减函数。这意味着随着 \( x \) 值的增加,对称轴的值 \( a \) 应该减小。因此,对称轴 \( x = a \) 应该是一个递减的常数。 ### 步骤 3:写出对称轴的方程 根据上述分析,我们可以得出对称轴的方程为: \[ x = a \] 其中 \( a \) 是一个递减的常数。 ### 总结 因此,函数 \( f \) 的一个对称轴的方程是: \[ x = a \] 这个方程表明对称轴是一条垂直于 x 轴的直线,且 \( a \) 是一个递减的常数。

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对称轴的方程是 \( x = a \),其中 \( a \) 是递减的常数。
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